Hi all,I'm struggling with the following problem from my Algebra 2/Trig text:

Rationalize the denominator and write the fraction in simplest form. All variables represent positive numbers:

Here's as far as I get:I multiply the first fraction by 1 using the conjugate, , and the second fraction by which gives me:

Next, so that I could perform the subtraction, I calculated the common denominator of the two fractions: (x-36)(6), or 6x-216.

That gives me:

multiplying out the numerators I get:

And this is where I'm stuck. The answer given by the text is:

It looks like I’m ok up to the point I get to, but I can't make the last jump(s) to the answer. I think part of my problem is that I thought, when you have binomials or polynomials, you can't cancel or reduce. i.e. you can only do that when you are multiplying factors (not sure if I'm explaining myself clearly there).